Задача 74512 sinx•cosП/6...

656cb7360d797a6d556c5aec

12/3/2023 5:22:48 PM

sinx•cosП/6

5f3ea7e3faf909182968ddd9

12/3/2023 6:08:09 PM

★

sin(x-(π/6)) ≤ 1/2

(x-(π/6))=t

sin t ≤ 1/2 ( cм. рис)

[b](-7π/6)+2πn≤ t ≤(π/6)+2πn, n ∈[b] Z[/b][/b]



(-7π/6)+2πn≤ (x-(π/6)) ≤(π/6)+2πn, n ∈[b] Z[/b]

(-7π/6)+[b](π/6)[/b]+2πn≤ x ≤(π/6)+[b](π/6)[/b]+2πn, n ∈[b] Z[/b]

-π+2πn≤ x ≤(2π/6)+2πn, n ∈[b] Z[/b]

-π+2πn≤ x ≤(π/3)+2πn, n ∈[b] Z[/b]